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Finding the Fourth Proportional to 10,103.80, 15,155.70 and 2,709.40

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Solution

The fourth proportional to 10,103.80, 15,155.70 and 2,709.40 is: 4,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.80 : 15,155.70 = 2,709.40 : x
  2. Step 2: Convert to fraction form
    10,103.80/15,155.70 = 2,709.40/x
  3. Step 3: Cross multiply
    10,103.80x = 15,155.70 × 2,709.40
  4. Step 4: Simplify right side
    10,103.80x = 41,062,853.58
  5. Step 5: Solve for x
    x = 41,062,853.58/10,103.80
  6. Step 6: Final answer
    x = 4,064.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.